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      Question

      There are balls of three colours i.e. red, yellow and

      black. The number of black balls is 6 more than the average number of balls of each colour. The number red balls is 20% less than the number of black balls, and 6 more than the number of yellow coloured balls. Find the number of yellow coloured balls.
      A 12 Correct Answer Incorrect Answer
      B 14 Correct Answer Incorrect Answer
      C 16 Correct Answer Incorrect Answer
      D 18 Correct Answer Incorrect Answer
      E 20 Correct Answer Incorrect Answer

      Solution

      Let the average number of balls of each colour be ‘x’.
      Therefore, number of black coloured balls = (x + 6)
      Number of red coloured balls = 0.8(x + 6)
      Number of yellow coloured balls = 0.8(x + 6) – 6
      Therefore,
      (x + 6) + 0.8(x + 6) + 0.8(x + 6) – 6 = 3x
      Or, 0.4x = 9.6
      Or, x = 9.6/0.4 = 24
      Therefore, number of yellow coloured balls = 0.8(x + 6) – 6 = 18

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